Information on Result #1977314
There is no OA(27m, m+n, S27, 2) with finite m and arbitrarily large n, because lower bound on the number of runs for OAs with strength k = 2 and arbitrarily large number of factors s
Mode: Bound.
Optimality
Show details for fixed n and k.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(27m, m+n, S27, 3) with finite m and arbitrarily large n | [i] | Strength Reduction | |
| 2 | No OA(27m, m+n, S27, 4) with finite m and arbitrarily large n | [i] | ||
| 3 | No OA(27m, m+n, S27, 5) with finite m and arbitrarily large n | [i] | ||
| 4 | No OA(27m, m+n, S27, 6) with finite m and arbitrarily large n | [i] | ||
| 5 | No OA(27m, m+n, S27, 7) with finite m and arbitrarily large n | [i] | ||
| 6 | No OA(27m, m+n, S27, 8) with finite m and arbitrarily large n | [i] | ||
| 7 | No OA(27m, m+n, S27, 9) with finite m and arbitrarily large n | [i] | ||
| 8 | No OA(27m, m+n, S27, 10) with finite m and arbitrarily large n | [i] | ||
| 9 | No OA(27m, m+n, S27, 11) with finite m and arbitrarily large n | [i] | ||
| 10 | No OA(27m, m+n, S27, 12) with finite m and arbitrarily large n | [i] | ||
| 11 | No OA(27m, m+n, S27, 13) with finite m and arbitrarily large n | [i] | ||
| 12 | No OA(27m, m+n, S27, 14) with finite m and arbitrarily large n | [i] | ||
| 13 | No OA(27m, m+n, S27, 15) with finite m and arbitrarily large n | [i] | ||
| 14 | No OA(27m, m+n, S27, 16) with finite m and arbitrarily large n | [i] | ||
| 15 | No OA(27m, m+n, S27, 17) with finite m and arbitrarily large n | [i] | ||
| 16 | No OA(27m, m+n, S27, 18) with finite m and arbitrarily large n | [i] | ||
| 17 | No OA(27m, m+n, S27, 19) with finite m and arbitrarily large n | [i] | ||
| 18 | No OA(27m, m+n, S27, 20) with finite m and arbitrarily large n | [i] | ||
| 19 | No OA(27m, m+n, S27, 21) with finite m and arbitrarily large n | [i] | ||
| 20 | No OA(27m, m+n, S27, 22) with finite m and arbitrarily large n | [i] | ||
| 21 | No OA(27m, m+n, S27, 23) with finite m and arbitrarily large n | [i] | ||
| 22 | No OA(27m, m+n, S27, 24) with finite m and arbitrarily large n | [i] | ||
| 23 | No OA(27m, m+n, S27, 25) with finite m and arbitrarily large n | [i] | ||
| 24 | No OA(27m, m+n, S27, 26) with finite m and arbitrarily large n | [i] | ||
| 25 | No OA(27m, m+n, S27, 27) with finite m and arbitrarily large n | [i] | ||
| 26 | No OA(27m, m+n, S27, 28) with finite m and arbitrarily large n | [i] | ||
| 27 | No OA(27m, m+n, S27, 29) with finite m and arbitrarily large n | [i] | ||
| 28 | No OA(27m, m+n, S27, 30) with finite m and arbitrarily large n | [i] | ||
| 29 | No OA(27m, m+n, S27, 31) with finite m and arbitrarily large n | [i] | ||
| 30 | No OA(27m, m+n, S27, 32) with finite m and arbitrarily large n | [i] | ||
| 31 | No OA(27m, m+n, S27, 33) with finite m and arbitrarily large n | [i] | ||
| 32 | No OA(27m, m+n, S27, 34) with finite m and arbitrarily large n | [i] | ||
| 33 | No OA(27m, m+n, S27, 35) with finite m and arbitrarily large n | [i] | ||
| 34 | No OA(27m, m+n, S27, 36) with finite m and arbitrarily large n | [i] | ||
| 35 | No OA(27m, m+n, S27, 37) with finite m and arbitrarily large n | [i] | ||
| 36 | No OA(27m, m+n, S27, 38) with finite m and arbitrarily large n | [i] | ||
| 37 | No OA(27m, m+n, S27, 39) with finite m and arbitrarily large n | [i] | ||
| 38 | No OA(27m, m+n, S27, 40) with finite m and arbitrarily large n | [i] | ||
| 39 | No OA(27m, m+n, S27, 41) with finite m and arbitrarily large n | [i] | ||
| 40 | No OA(27m, m+n, S27, 42) with finite m and arbitrarily large n | [i] | ||
| 41 | No OA(27m, m+n, S27, 43) with finite m and arbitrarily large n | [i] | ||
| 42 | No OA(27m, m+n, S27, 44) with finite m and arbitrarily large n | [i] | ||
| 43 | No OA(27m, m+n, S27, 45) with finite m and arbitrarily large n | [i] | ||
| 44 | No OA(27m, m+n, S27, 46) with finite m and arbitrarily large n | [i] | ||
| 45 | No OA(27m, m+n, S27, 47) with finite m and arbitrarily large n | [i] | ||
| 46 | No OA(27m, m+n, S27, 48) with finite m and arbitrarily large n | [i] | ||
| 47 | No OA(27m, m+n, S27, 49) with finite m and arbitrarily large n | [i] | ||
| 48 | No OA(27m, m+n, S27, 50) with finite m and arbitrarily large n | [i] | ||
| 49 | No OA(27m, m+n, S27, 51) with finite m and arbitrarily large n | [i] | ||
| 50 | No OA(27m, m+n, S27, 52) with finite m and arbitrarily large n | [i] | ||
| 51 | No OA(27m, m+n, S27, 53) with finite m and arbitrarily large n | [i] | ||
| 52 | No OA(27m, m+n, S27, 54) with finite m and arbitrarily large n | [i] | ||
| 53 | No OA(27m, m+n, S27, 55) with finite m and arbitrarily large n | [i] | ||
| 54 | No OA(27m, m+n, S27, 56) with finite m and arbitrarily large n | [i] | ||
| 55 | No OA(27m, m+n, S27, 57) with finite m and arbitrarily large n | [i] | ||
| 56 | No OA(27m, m+n, S27, 58) with finite m and arbitrarily large n | [i] | ||
| 57 | No OA(27m, m+n, S27, 59) with finite m and arbitrarily large n | [i] | ||
| 58 | No OA(27m, m+n, S27, 60) with finite m and arbitrarily large n | [i] | ||
| 59 | No OA(27m, m+n, S27, 61) with finite m and arbitrarily large n | [i] | ||
| 60 | No OA(27m, m+n, S27, 62) with finite m and arbitrarily large n | [i] | ||
| 61 | No OA(27m, m+n, S27, 63) with finite m and arbitrarily large n | [i] | ||
| 62 | No OA(27m, m+n, S27, 64) with finite m and arbitrarily large n | [i] | ||
| 63 | No OA(27m, m+n, S27, 65) with finite m and arbitrarily large n | [i] | ||
| 64 | No OA(27m, m+n, S27, 66) with finite m and arbitrarily large n | [i] | ||
| 65 | No OA(27m, m+n, S27, 67) with finite m and arbitrarily large n | [i] | ||
| 66 | No OA(27m, m+n, S27, 68) with finite m and arbitrarily large n | [i] | ||
| 67 | No OA(27m, m+n, S27, 69) with finite m and arbitrarily large n | [i] | ||
| 68 | No OA(27m, m+n, S27, 70) with finite m and arbitrarily large n | [i] | ||
| 69 | No OA(27m, m+n, S27, 71) with finite m and arbitrarily large n | [i] | ||
| 70 | No OA(27m, m+n, S27, 72) with finite m and arbitrarily large n | [i] | ||
| 71 | No OA(27m, m+n, S27, 73) with finite m and arbitrarily large n | [i] | ||
| 72 | No OA(27m, m+n, S27, 74) with finite m and arbitrarily large n | [i] | ||
| 73 | No OA(27m, m+n, S27, 75) with finite m and arbitrarily large n | [i] | ||
| 74 | No OA(27m, m+n, S27, 76) with finite m and arbitrarily large n | [i] | ||
| 75 | No OA(27m, m+n, S27, 77) with finite m and arbitrarily large n | [i] | ||
| 76 | No OA(27m, m+n, S27, 78) with finite m and arbitrarily large n | [i] | ||
| 77 | No OA(27m, m+n, S27, 79) with finite m and arbitrarily large n | [i] | ||
| 78 | No OA(27m, m+n, S27, 80) with finite m and arbitrarily large n | [i] | ||
| 79 | No OA(27m, m+n, S27, 81) with finite m and arbitrarily large n | [i] | ||
| 80 | No OA(27m, m+n, S27, 82) with finite m and arbitrarily large n | [i] | ||
| 81 | No OA(27m, m+n, S27, 83) with finite m and arbitrarily large n | [i] | ||
| 82 | No OA(27m, m+n, S27, 84) with finite m and arbitrarily large n | [i] | ||
| 83 | No OA(27m, m+n, S27, 85) with finite m and arbitrarily large n | [i] | ||
| 84 | No OA(27m, m+n, S27, 86) with finite m and arbitrarily large n | [i] | ||
| 85 | No OA(27m, m+n, S27, 87) with finite m and arbitrarily large n | [i] | ||
| 86 | No OA(27m, m+n, S27, 88) with finite m and arbitrarily large n | [i] | ||
| 87 | No OA(27m, m+n, S27, 89) with finite m and arbitrarily large n | [i] | ||
| 88 | No OA(27m, m+n, S27, 90) with finite m and arbitrarily large n | [i] | ||
| 89 | No OA(27m, m+n, S27, 91) with finite m and arbitrarily large n | [i] | ||
| 90 | No OA(27m, m+n, S27, 92) with finite m and arbitrarily large n | [i] | ||
| 91 | No OA(27m, m+n, S27, 93) with finite m and arbitrarily large n | [i] | ||
| 92 | No OA(27m, m+n, S27, 94) with finite m and arbitrarily large n | [i] | ||
| 93 | No OA(27m, m+n, S27, 95) with finite m and arbitrarily large n | [i] | ||
| 94 | No OA(27m, m+n, S27, 96) with finite m and arbitrarily large n | [i] | ||
| 95 | No OA(27m, m+n, S27, 97) with finite m and arbitrarily large n | [i] | ||
| 96 | No OA(27m, m+n, S27, 98) with finite m and arbitrarily large n | [i] | ||
| 97 | No OA(27m, m+n, S27, 99) with finite m and arbitrarily large n | [i] | ||
| 98 | No OA(27m, m+n, S27, 100) with finite m and arbitrarily large n | [i] | ||
| 99 | No OA(27m, m+n, S27, 101) with finite m and arbitrarily large n | [i] | ||
| 100 | No OA(27m, m+n, S27, 102) with finite m and arbitrarily large n | [i] | ||
| 101 | No OA(27m, m+n, S27, 103) with finite m and arbitrarily large n | [i] | ||
| 102 | No OA(27m, m+n, S27, 104) with finite m and arbitrarily large n | [i] | ||
| 103 | No OA(27m, m+n, S27, 105) with finite m and arbitrarily large n | [i] | ||
| 104 | No OA(27m, m+n, S27, 106) with finite m and arbitrarily large n | [i] | ||
| 105 | No OA(27m, m+n, S27, 107) with finite m and arbitrarily large n | [i] | ||
| 106 | No OA(27m, m+n, S27, 108) with finite m and arbitrarily large n | [i] | ||
| 107 | No OA(27m, m+n, S27, 109) with finite m and arbitrarily large n | [i] | ||
| 108 | No OA(27m, m+n, S27, 110) with finite m and arbitrarily large n | [i] | ||